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Finding the Third Proportional to 530,845.31 and 742,240.13

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Solution

The third proportional to 530,845.31 and 742,240.13 is: 1,037,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,845.31 : 742,240.13 = 742,240.13 : x
  2. Step 2: Convert to fraction form
    530,845.31/742,240.13 = 742,240.13/x
  3. Step 3: Cross multiply
    530,845.31x = 742,240.13 × 742,240.13
  4. Step 4: Simplify right side
    530,845.31x = 550,920,403,160.02
  5. Step 5: Solve for x
    x = 550,920,403,160.02/530,845.31
  6. Step 6: Final answer
    x = 1,037,817.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.